Tough ass adventure platforming and puzzle game with light 3rd person shooting elements.What are the Tomb Raider roots?
Ideally, you'd want an evolution of the original to be less about the combat and more about the actual process of navigating/surviving the tombs. Maybe a very detailed and interesting parkour traversal system and great story to keep you hooked in.
The newest trilogy honestly was not bad, but since other games were around that did what it was doing better it had no real original identity. Also the characterization of Lara was lost, she's a james bond/bruce wayne style boss chick whose a thrillseeker. The newer games made her much more of a generic archaeologist who just so happened to put herself in a survival situation.